Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of lima beans (in tons/acre). (Reference: Agricultural Statistics, United States Department of Agriculture.)

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Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of lima beans (in tons/acre). (Reference: Agricultural Statistics, United States Department of Agriculture.)

Method A 1.30 1.87 1.29 1.68 1.36 1.12 1.60 1.92 1.13 1.27 1.73  
Method B 1.71 1.62 2.31 1.89 1.34 2.25 2.12 1.45 1.46 1.97 1.74 1.18



Use a 1% level of significance to test the hypothesis that there is no difference between the yield distributions.

(a) What is the level of significance?
 
(b) Compute the sample test statistic. (Use 2 decimal places.)
(c) Find the P-value of the sample test statistic. (Use 4 decimal places.)
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